Matthew Yu
University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
Woodstock Road
Oxford
OX2 6GG
A full list of my publications may be found on: iNSPIRE, Google Scholar
Sixteen-Fold Way for Fermionic Topological Order
Kobayashi R. , Prem A. , Yu M. (Jun 2026) https://arxiv.org/pdf/2606.28682
The Classification of Pauli Stabilizer Codes
Yang B. , Yu M. (Apr 2026) https://arxiv.org/pdf/2604.24847
Symmetric Gapped States and Symmetry-Enforced Gaplessness in (3+1)d
Debray A. , Ye W. , Yu M. (Feb 2026) https://arxiv.org/pdf/2602.12335
Geometric Categories for Continuous Gauging
Stockall D. , Yu M. (Nov 2025) https://arxiv.org/pdf/2511.08254
How to Build Anomalous (3+1)d Topological Field Theories
Debray A. , Ye W. , Yu M. (Oct 2025) https://arxiv.org/abs/2510.24834
The Classification of (3+1)d Symmetry Enriched Topological Order
Décoppet T. , Yu M. (Sep 2025) https://arxiv.org/abs/2509.10603
A Generalized Crystalline Equivalence Principle
Stockall D. , Yu M. (Aug 2025) https://arxiv.org/pdf/2508.10978
Mutual Influence of Symmetries and Topological Field Theories
Teixeira D. , Yu M. (Jul 2025) https://arxiv.org/abs/2507.06304
Global Structure in the Presence of a Topological Defect
Debray A. , Ye W. , Yu M. (Jan 2025) https://arxiv.org/pdf/2501.18399
A Non-Semisimple Non-Invertible Symmetry
Delcamp C. , Heng E. , Yu M. (Dec 2024) https://arxiv.org/pdf/2412.19635
Type IIA String Theory and tmf with Level Structure
Debray A. , Yu M. (Nov 2024) https://arxiv.org/pdf/2411.07299
The Classification of Fusion 2-Categories
Décoppet T. , Huston P. , Johnson-Freyd T. , Nikshych D., Penneys D. , Plavnik J. , Reutter D. , Yu M. (Nov 2024) https://arxiv.org/pdf/2411.05907
Fusion 3-Categories for Duality Defects
Bhardwaj L. , Décoppet T. , Schafer-Nameki S. , Yu M. (Aug 2024) https://arxiv.org/pdf/2408.13302
Bosonization and Anomaly Indicators of (2+1)d Fermionic Topological Orders
Debray A. , Ye W. , Yu M. (Dec 2023) https://arxiv.org/pdf/2312.13341
Quantum field and string theory, stable homotopy theory, higher (fusion) categories, quantum lattice models.
Recorded Seminars
University of Tokyo, "How to build Anomalous (3+1)d TQFTs": https://www.youtube.com/watch?v=SgLUNxE7SBU
Institute for Advanced Study, "A Non-Semisimple Categorical Symmetry": https://www.youtube.com/watch?v=-5NF-GrnIgU
Harvard CMSA, "A new tangential structure for type IIA string theory": https://www.youtube.com/watch?v=_eR_i-Pzvk4
University of Cambridge INI, "Emergent fermions modify symmetries in 2+1d": https://www.youtube.com/watch?v=P_Vaw-nXClc
Perimeter Institute, "Chern-Simons, time-reversal, bordism, and Smith homomorphisms": https://pirsa.org/23040101
BIMSA, "The Classification of Fusion 2-Categories": https://www.youtube.com/watch?v=R9KNNojxpXA
University of Oxford, "Gauging Non-Invertible Surface Operators": https://www.youtube.com/watch?v=kYX_hdJAdhs